نتایج جستجو برای: nonlinear surface waves

تعداد نتایج: 934453  

Journal: :Physical review. E 2016
Hans Dierckx Henri Verschelde

The dynamics of many natural systems is dominated by nonlinear waves propagating through the medium. We show that in any extended system that supports nonlinear wave fronts with positive surface tension, the asymptotic wave-front dynamics can be formulated as a gradient system, even when the underlying evolution equations for the field variables cannot be written as a gradient system. The varia...

2011
Ivan D. Rukhlenko Asanka Pannipitiya Malin Premaratne Govind P. Agrawal

We derive an exact dispersion relation for the surface plasmon polaritons of a nonlinear plasmonic waveguide using exact field decomposition of TM waves. Our approach generalizes the known linear dispersion relations to the case of a medium nonlinearity of the form εNL = εL + α|E|2n. We apply the unique dispersion relation to a plasmonic waveguide with a Kerr-type nonlinearity (n = 1) and show ...

1982
A. C. FOWLER

This paper is an attempt a t a mathematical synopsis of the theory of wave motions on glaciers. These comprise surface waves (analogous to water waves) and seasonal waves (more like compression waves). Surface waves have been often treated and are well understood, but seasonal waves, while observed, do not seem to have attracted any theoretical explanation. Additionally, the spectacular phenome...

2012
M. F. El-Sayed D. K. Callebaut

The method of multiple scales is used to analyse the nonlinear propagation of waves on the interface between two superposed dielectric fluids with uniform depths in the presence of a normal electric field, taking into account the interfacial surface charges. The evolution of the amplitude for travelling waves is governed by a nonlinear Schrödinger equation which gives the criterion for modulati...

2013
Ryan Elandt Mostafa Shakeri Reza Alam

Here we show that a nonlinear resonance between oceanic surface waves caused by small seabed features (the so called Bragg resonance) can be utilized to create equivalent of lenses and curved mirrors for surface gravity waves. Such gravity wave lenses, which are merely small changes to the seafloor topography and therefore are surface non-invasive, can focus/defocus energy of incident waves tow...

2017
Eric Falcon Claude Laroche E. Falcon C. Laroche

We report the observation of changes in the wave turbulence properties of gravitycapillary surface waves due to a finite depth effect. When the fluid depth is decreased, a hump is observed on the wave spectrum in the capillary regime at a scale that depends on the depth. The possible origin of this hump is discussed. In the gravity regime, the wave spectrum still shows a power law but with an e...

Journal: :IEEE Trans. Geoscience and Remote Sensing 1999
Gregory Zilman Lev Shemer

The problem of obtaining quantitative data on spatial ocean wave spectra from the images of the ocean surface by either regular SAR or along-track interferometric SAR (INSAR) is studied. The dominant mechanism which allows imaging of ocean waves by SAR/INSAR is the so-called velocity bunching. This mechanism is essentially nonlinear. The theoretical analysis of SAR/INSAR imagery of the ocean su...

2000
Mary Silber Chad M. Topaz Anne C. Skeldon John David Crawford

Recent experiments [1] on two–frequency parametrically excited surface waves exhibit an intriguing “superlattice” wave pattern near a codimension–two bifurcation point where both subharmonic and harmonic waves onset simultaneously, but with different spatial wavenumbers. The superlattice pattern is synchronous with the forcing, spatially periodic on a large hexagonal lattice, and exhibits small...

Journal: :Journal of Applied Mechanics 1984

Journal: :The Journal of the Acoustical Society of America 1961

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